Clark County School District K 12 Mathematics

Transcription

1 lark ounty Scool District K Matematics Hig Scool Practice Proficiency Examination urriculum and Professional Development Division Soutern Nevada Regional Professional Development Program

2 Formula Seet Note to Student: You may use tese formulas trougout tis entire test. Feel free to use tis Formula Seet as needed during your testing time. Parallelogram rea = Trapezoid rea = ( + ) ircle r d Rectangular Solid l w ircumference = πr =πd Volume Surface rea V = lw S = lw + l + w rea =πr ylinder r one Pytagorean Teorem a + = c a c Volume V =πr Volume V = πr r Trigonometric Ratios a sin x = c cos x = tan x = Special Rigt Triangles c a c x a Permutations ominations n n n! P k = ( n k)! n! k = k!( n k)! x 45 x 0 x x x x Temperature Formulas 9 F = = (F ) 9

3 SD Practice Proficiency Exam. dd n expression is given elow. ( 8+ y) Wic expression is equivalent to te one given?. 0 + y 0 + y. 4 + y 4+ y. set of data is arranged in numerical order. Wat value represents te spread of te middle alf of te data?. interquartile range mean. median range 4. In te diagram elow, B = 4, = 6, XY =, and ΔB ΔXYZ. Wat is XZ?. B Te first six terms of a sequence are sown elow Te sequence continues. Wic expression represents te n t term of te sequence?. n + 9n. n + 5 n + n 6. ox is in te sape of a rectangular prism. Te eigt of te ox is 4 inces. Te lengt of te ox is twice te widt of te ox. Te volume of te ox is 400 cuic inces. Wat is te widt of te ox in inces?. 5 in. 0 in.. 0 in. 00 in. Z Y X 7. Wic expression sows ow te distriutive property can e used to calculate te cost of 6 jars of peanut utter costing $.98 per jar?. (.00) + (0.98) (4.00) (0.0). 6(.00) 6(0.98) 6(4.00) 6(0.0) SD Practice Proficiency Exam Page of 7

4 SD Practice Proficiency Exam 8. radio station is considering canging its format from country-western music to ip-op. It asks its current listeners to call in and give teir opinion aout te cange. Wic BEST descries wy tis survey is iased?. urrent listeners will not want a cange in format. Some listeners may call in more tan once.. Some listeners may not learn aout te survey and couldn t give teir opinion. Te station may not ave enoug pone lines to andle all te listeners calls. 9. Use te federal tax tales and information given elow. 007 Tax Tale ontinued 008 Tax Tale ontinued In 007, Jason s taxale income was $50,000 and e filed is taxes as a single taxpayer. In 008, Jason s taxale income was $40 more tan in 007, and e filed as Married filing jointly wit is new spouse wo ad no taxale income. How did Jason s federal taxes in 008 compare to is federal taxes in 007?. His tax was $0 more in 008. His tax was $40 more in His tax was $,69 less in 008. His tax was $,9 less in 008. SD Practice Proficiency Exam Page of 7

5 SD Practice Proficiency Exam 0. function and its range are sown elow. f ( x) = x 5 Range: f ( x) { 7,,, } Wat is te domain of te function?. x {,,, 4} x { 7,,, }. x { 9, 7,,} x { 4,, 8, 4}. Two fair, six-sided dice are rolled. Wat is te proaility tat te sum of te two dice is or 7? Jon, Roert, and Tom ave te same type of cellular pone. Eac man measured is pone s lengt; te results are sown in te tale elow. Name Measured Lengt Jon 9 cm Roert 0. cm Tom 9.85 cm Te actual lengt of te pone is 9.5 cm. Wo ad te most accurate measurement?. Jon Roert. Tom ll tree measurements were equally accurate.. Te equation of a line is given elow. x+ y = Wat is te slope of te line? n equation is sown elow. g = 6 Wic is an equivalent equation solved for g?. g =. g = g = g = ( + 4)( ) 4 ( 4)( + ) 4 5. Two students did surveys for a class project. Descriptions of teir surveys are listed elow. Rapael wanted to know were is classmates were orn. Eac student in te class was asked to give is irtplace. nne wanted to know aout te recycling program at scool. Twenty fresmen, twenty sopomores, twenty juniors, and twenty seniors were randomly selected and asked teir opinions aout recycling. Wic statement is correct?. Rapael took a sample and nne did a census. Rapael did a census and nne took a sample.. Bot students took a sample. Bot students did a census. SD Practice Proficiency Exam Page of 7

6 SD Practice Proficiency Exam 6. In te diagram elow, a 5-foot pole BP is erected at te corner of an 8-foot y 6-foot rectangular concrete pad BD. Te pole is perpendicular to te pad and ancored wit a guy wire PD. P 9. Te tale elow sows te profit (in tousands of dollars) earned y a company in eac of five recent years. Year Profit (x000) $06 $4 $498 $57 $6 5 ft B 6 ft Between wic two consecutive years did te company sow te greatest increase in profits?. 004 to to to to ft Note: Diagram not drawn to scale D 0. In te diagram elow, points,, and D, are on circle O. Wat is te lengt of te guy wire, PD, in feet?. 5 5 feet 00º O 5 feet feet feet 7. Wic value is etween 6 and 7? Te first four terms of a sequence are sown elow Te sequence continues. Wat is te tent term of te sequence? D Wat is te measure of. 5º 50º. 00º 00º D?. sandwic sop advertises it can make 0 different sandwices consisting of one type of read, one type of meat, and one type of ceese. Te sop offers two types of read and five types of meat. How many different types of ceese does te sop offer? SD Practice Proficiency Exam Page 4 of 7

7 SD Practice Proficiency Exam. n equation is sown elow. x + 6x 7= 0 Wat is te solution set of te equation?. {, 6} { 9, 8}. { 8, 9} { 6, }. Te stem-and-leaf plot elow sows te speeds of eigt cars on a igway represents 49 miles per our Wat is te median speed?. 5 mp 5 mp. 54 mp 55 mp 4. Look at te equation elow. x 4 = 5 Wic grap represents te solution set of te equation?. 5. Te equation elow illustrates a property of real numers. ( 0 + 0) + 0 = ( 0 + 0) + 0 Wic property is illustrated y te equation?. associative property commutative property. distriutive property identity property 6. Te ox-and-wisker plots elow sow te distriutions of te points scored y two asketall teams in teir last twenty games. Points Scored in te Last Twenty Games Bulldogs Wildcats Points Scored Wic is a correct conclusion aout te scores of te two teams last twenty games?. Te interquartile ranges are te same for ot teams. Te range for te Wildcats is greater tan te range for te Bulldogs.. Te Bulldogs scored greater tan 80 points in more games tan te Wildcats. Te Wildcats scored fewer tan 60 points in more games tan te Bulldogs. 7. student is measuring te lengt of a textook wit a ruler. Wic sows te ruler wit te greatest precision?... inc inc inc inc SD Practice Proficiency Exam Page 5 of 7

8 SD Practice Proficiency Exam 8. In te figure, quadrilateral BD is a trapezoid, D EF, and m BEF = 5.. Te grap of a linear equation is sown elow. E B D F Wat is m DF?. 5º 55º. 70º 5º 9. ag contains 6 cocolate, caramel, and 8 almond candies. One candy is cosen randomly. Wat is te proaility tat te cosen candy is a caramel? system of equations is sown elow. 5x+ y = 7 x y = 6 Wat is te x-value in te solution of te system of equations? 40. x =. 6 x = x = 5 x = Wic equation represents a line parallel to te given line?. y = x y = x. y = x y = x. Wat is te value of ? Te matrix elow represents te inventory at a cloting store. Small Medium Large Sirts Sweaters Pants How many medium sweaters does te store ave in stock? SD Practice Proficiency Exam Page 6 of 7

9 SD Practice Proficiency Exam 4. Wat must e added to.. n + n 0 n + n 7n + n 7n + n 0 5. Use te facts elow. n + 4 to get 5n n 6 +? llie, Betty, arlos, and Dan eac ave a different favorite color: lue, green, red, or yellow. llie and Dan do not ave lue as teir favorite. Betty s favorite color is yellow. Dan s favorite color is not red. Wat is arlos favorite color?. lue green. red yellow 6. Two companies uild irdouses. ompany pays teir employees $00 per day plus $5 per irdouse uilt. ompany B pays teir employees $0 per day plus $5 per irdouse. How many irdouses would ave to e uilt in one day for an employee of eiter company to e paid te same amount?. irdouses 4 irdouses. 5 irdouses 6 irdouses 7. To make fudge, te candy mix must e eated to a temperature of 5º elsius. Wat is te approximate equivalent temperature in Fareneit?. 96º F 75º F. 9º F 65º F 8. Use te numers elow Wic list is ordered from least to greatest? n equation is sown elow. PV = nrt Wic sows te equation correctly solved for R? PVT. R = n. PVn R = T PV R = nt PT R = Vn 40. Use te diagrams of cylinders elow. Te larger cylinder as a radius of 0.8 inces and a eigt of 0.6 inces. Te smaller cylinder as a radius of 0.4 inces and a eigt of 0. inces. Wat is te ratio of te volume of te larger cylinder to tat of te smaller cylinder?. to to. 4 to 8 to SD Practice Proficiency Exam Page 7 of 7